Set up and find the meaure of the arc or angle indicated.

The evaluation of the function gives 16.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To evaluate the  function f(x) =80/4x-3, we need to substitute the value of the input (i.e. x = 2). Thus:

f(x) = 80/(4x-3)

f(2) = 80/(4*2 - 3)

f(2) = 80/(8 - 3)

f(2) = 80/5

f(2) = 16

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The equation of the axis of symmetry is x = 5/8

The axis of symmetry of a parabola is a vertical line that divides the parabola into two symmetric halves.

The equation of the axis of symmetry for a parabola of the form y = ax² + bx + c is given by:

x = -b/(2a)

In the given equation, a = 4 and b = -5. Substituting these values into the formula, we get:

x = -(-5)/(2×4)

x = 5/8

Therefore, the equation of the axis of symmetry is x = 5/8

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Answer: (-3^4^-7)^-3 can be expressed with positive exponents as (-1/3^4^7)^3.

Step-by-step explanation:

First, we need to evaluate the exponents of the expression from the highest power to the lowest power. Since the exponent of 7 is negative, we need to apply the rule that a negative exponent indicates a reciprocal. Therefore, we can rewrite the expression as (-3^4^-1/7)^-3.

Next, we can simplify the expression -1/7 by flipping it to 7^-1. Therefore, we now have (-3^4^7^-1)^-3.

We can now evaluate the exponent of 4, which gives us (-3^16384^-1)^-3.

Finally, we can simplify 16384^-1 by flipping it to 1/16384, which gives us (-1/3^1/16384)^3.

This expression can be written using only positive exponents as (-1/3^4^7)^3.

We do not need both the Celsius and Fahrenheit formulas

From the question, we have the following parameters that can be used in our computation:

The temperature equations

The general rule is that we need any of the temperature units to find the other temperature unit

This in other words means that we do not need both temperature units to find any of these two temperature units

Hence the statement is false

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The height of the planter box is 15 inches.

We have,

The volume of a rectangular prism is given by the formula:

V = l w h

where V is the volume, l is the length, w is the width, and h is the height.

In this case, we know that the length is 12 1/2 inches and the width is 10 inches, and the volume is 1,875 cubic inches.

So we can plug these values into the formula and solve for the height:

[tex]1,875 = (12 \frac{1}{2})\cdot 10 \cdot h[/tex]

Multiplying the length and width, we get:

1,875 = 125h

Dividing both sides by 125, we get:

h = 15

Therefore,

The height of the planter box is 15 inches.

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The correct statements from the box plot are given as follows:

A box and whisker plots shows these five features from a data-set, listed as follows:

Hence the correct statements are given as follows:

The false statements are given as follows:

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Since the dimensions of Lesley's bedroom are 7m by 6m, the area is 42 square meters.

The area is the space occupied by a two-dimensional object or space.

The dimensions for the measurement of the area are length and width.

Area is always stated in square units, for example, meters, miles, kilometers, centimeters, etc.

Dimensions of Lesley's bedroom:

Length = 7 m

Width = 6 m

Thus, the area of the bedroom = 42 m² (7 x 6).

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The number of students in her middle school would be = 729 students

The number of students that was determined by Fatima = 3^6

That is;

Number of students = 3×3×3×3×3×3

= 729students

Therefore the number of students that were actually calculated by Fatima = 729 students.

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The line plot is not symmetric because the numbers of siblings range from 0 to 8.

a. The line plot is not symmetric because the numbers of siblings range from 0 to 8. The number of students with 0 siblings is much greater than the number of students with 8 siblings.

b. The distribution is skewed left, meaning that the majority of students have fewer siblings than the average.

c. Since the distribution is skewed left, the median would be a better measure of the center because it is not affected by the outliers. The median number of siblings is 0. To measure the spread of the distribution, we can use the range, which is 8.

Therefore, the line plot is not symmetric because the numbers of siblings range from 0 to 8.

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Answer:

2.25 units³

Hope this helps!

Step-by-step explanation:

The formula, base, and height are already given so all you have to do is multiply 2 with [tex]3\frac{3}{8}[/tex].

2 × [tex]\frac{9}{8}[/tex]  =  [tex]\frac{9}{4}[/tex]  =  2.25 units³

Let's start by using the formula:

distance = rate x time

Let d be the distance the boat traveled, in miles.

The time it took Pat and Jeff to walk to the dock is the same as the time it took them to motor to Dillon, so we can write:

d/8 = (13 - d)/2

Simplifying this equation, we get:

d = 8(13 - d)/2

d = 52 - 4d

5d = 52

d = 10.4

Therefore, the boat traveled a distance of 10.4 miles.

The rectangular piece of paper has a perimeter of 48.34 units.

The perimeter of a rectangle is given by the sum of the lengths of all its sides.

To find the perimeter of this rectangular sheet of paper, we need to add up the lengths of its four sides.

The length of the rectangle is 12 + 1 by 2 = 13.5 units, and its width is 10 + 2 by 3 = 11.67 units.

Therefore, the perimeter of the rectangle is:

P = 2(length + width)

P = 2(13.5 + 10.67)

P = 2(24.17)

P = 48.34 units

So the perimeter of the rectangular sheet of paper is 48.34 units.

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Answer:

(2,2), (4,8), (3,4)

Step-by-step explanation:

Plug in the x-coodinate and it should equal your desired y value

The maximum value above is 46 at (2, 6). The production output goal which refers to the maximisation of profits relative to production is described by the objective function.

The production output goal which refers to the maximisation of profits relative to production is described by the objective function, which is a mathematical equation. The quantity of the final result is then calculated using the correlation between the variables. In other words, it's a formula that companies employ to meet their production and profitability objectives.

F = 5x + 6y

The coordinates of the feasible region are (0, 6), (1, 6.5) and (2, 6)

Substitute (0, 6), (1, 6.5) and (2, 6) in the above equation

F(0, 6) = 5(0) + 6(6) = 36

F(1, 6.5) = 5(1) + 6(6.5) = 44

F(2, 6) = 5(2) + 6(6) = 46

The maximum value above is 46 at (2, 6)

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Answer: 1

Step-by-step explanation:

The formula for the Z-score is:

Z = (X - μ) / σ

where:

- X is Dr. Baker's bowling average

- μ is the mean bowling average of the players in the tournament

- σ is the standard deviation of the bowling averages of the players in the tournament

From the problem, we know that:

- μ = 158

- σ^2 = 121

- X = 169

Therefore, σ = sqrt(121) = 11.

Now we can plug in the values into the Z-score formula:

Z = (169 - 158) / 11 = 1

This means that Dr. Baker's bowling average is 1 standard deviation above the mean bowling average of the players in the tournament.

So the appropriate statistic is the Z-score, which is 1.

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

governmental fund financial statements and government-wide financial statements have different purposes and accounting methods. Governmental fund financial statements focus on the short-term financial performance and accountability of individual funds, using the modified accrual basis of accounting. Government-wide financial statements provide a broader and longer-term perspective of the government's financial position and activities, using the full accrual basis of accounting.

To reconcile between these two types of statements, some adjustments are needed to account for the differences in measurement focus and basis of accounting. Here are the steps to prepare the reconciliations for Part A and Part B:

Part A: Reconciliation between the Governmental Fund Balance Sheet and the Government-wide Statement of Net Position at 12/31/22.

- Start with the total fund balance of the governmental funds as reported in the fund balance sheet ($200,000).

- Add the net value of capital assets (acquisition value minus accumulated depreciation) as reported in the government-wide statement of net position. This is because capital assets are not reported in governmental fund financial statements, but are reported in government-wide financial statements. The net value of capital assets can be calculated as follows:

- Acquisition value of capital assets as of 1/1/22: $10,000,000

- Plus: Purchases of capital assets during 2022: $1,000,000

- Less: Sales of capital assets during 2022: $30,000

- Equals: Acquisition value of capital assets as of 12/31/22: $10,970,000

- Less: Accumulated depreciation as of 1/1/22: $5,200,000

- Less: Depreciation expense for 2022: $500,000

- Equals: Accumulated depreciation as of 12/31/22: $5,700,000

- Net value of capital assets as of 12/31/22: $5,270,000

- Subtract the amount of bonds payable as reported in the government-wide statement of net position. This is because bonds payable are not reported in governmental fund financial statements, but are reported in government-wide financial statements. The amount of bonds payable can be calculated as follows:

- Bonds payable as of 1/1/22: $3,200,000

- Plus: Issuance of bonds payable during 2022: $400,000

- Less: Repayment of bonds payable during 2022: $200,000

- Bonds payable as of 12/31/22: $3,400,000

- Subtract the amount of accrued interest payable on long-term debt as reported in the government-wide statement of net position. This is because accrued interest payable is not reported in governmental fund financial statements, but are reported in government-wide financial statements. The amount of accrued interest payable is given as $180,000.

- Add the amount of property taxes receivable that are not available to pay current liabilities as reported in the governmental fund balance sheet. This is because property taxes receivable that are not available are not recognized as revenues in governmental fund financial statements, but are recognized as revenues in government-wide financial statements. The amount of property taxes receivable that are not available can be calculated as follows:

- Total property taxes receivable as of 12/31/22: $80,000

- Less: Property taxes receivable expected to be collected within 60 days of year-end: $60,000

- Property taxes receivable that are not available as of 12/31/22: $20,000

- The resulting amount is the net position of governmental activities as reported in the government-wide statement of net position.

The reconciliation can be presented in a table format as follows:

| Reconciliation of Total Fund Balance to Net Position | Amount |

| ----------------------------------------------------- | ------ |

| Total fund balance - governmental funds | \$200,000 |

| Capital assets used in governmental activities are not financial resources and therefore are not reported in the funds | \$5,270,000 |

| Long-term liabilities applicable to governmental activities are not due and payable in the current period and therefore are not reported in the funds | \(-\$3,580,000\) |

| Revenues in the statement of activities that do not provide current financial resources are not reported as revenues in the funds | \$20,000 |

| Net position - governmental activities

The statement explains how the number cube is fair is The data should be symmetric about a central value.

Julio's simulation results, when graphed on a dot plot, often demonstrate an example of symmetric distribution where every number occurs with roughly the same frequency.

While perfect symmetry may not be witnessed in this particular simulated experiment, which consists of 40 trials that incorporate 8 rolls each, granted its limited range, the data will commonly point to fairness in its results for a fair number cube.

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The model y = 200(0.65)ⁿ represents exponential decay because the value of the bike decreases over time as t increases.

The value of the bike decreases by approximately 40.67% per year.

The value of the bike will be $50 approximately 5.2 years after it was purchased.

a. A = Peⁿ = 200e⁻⁰.⁴³⁰⁷≈ 118.66

The value of the bike after one year is approximately $118.66.

b. percent decrease = (initial amount - final amount) / initial amount * 100%

percent decrease = (200 - 118.66) / 200 * 100% ≈ 40.67%

c. We can set y = 50 in the model and solve for t:

50 = 200(0.65)ⁿ

0.65ⁿ = 0.25

Taking the natural logarithm of both sides, we get:

ln(0.65ⁿ) = ln(0.25)

t ln(0.65) = ln(0.25)

t = ln(0.25) / ln(0.65) ≈ 5.20

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The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Answer:

I believe it is B. always

Because Adding, subtracting or even multiplying will always give you a new polynomial not the same polynomial.

Im sorry if i am wrong

Answer: B. (1, 8)

Step-by-step explanation:

Hope this helps! :)

1.33 should be multiplied to the cost of the meal to find the total plus tip in one step.

To find the total cost of the meal plus the 33% tip, Gabriel needs to multiply the cost of the meal by a factor of 1.33 (which represents the original cost plus 33% of the original cost).

So the total cost including the tip can be found by multiplying the cost of the meal by 1.33.

For example, if the cost of the meal was $50, the total cost including the tip would be:

Total cost = Cost of the meal + 33% tip

Total cost = $50 + 0.33($50)

Total cost = $50 + $16.50

Total cost = $66.50

Therefore, Gabriel should multiply the cost of the meal by 1.33 to find the total cost including the 33% tip in one step.

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Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Answer: The coordinates of K' and M' are (-2,3) and (-4,1)

Answer:

[tex]r = \sqrt{ {8.6}^{2} - {5}^{2} } [/tex]

[tex]r = \sqrt{73.96 - 25} = \sqrt{48.96} = 6.997[/tex]

The closest answer is b.

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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